All categories

2 years ago

Choose the numbers to complete the statement about the expression.

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

5 0

Answer:

1 + and a half = 1 in a half

Step-by-step explanation:

The numerator in the first fraction is closest to

10, so the fraction is nearest to 1.

The numerator in the second fraction is closest to 3, so the fraction is nearest to one-half.

The value of the expression can be estimated as 1 + one-half = 1 and one-half.

You might be interested in

5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x

PSYCHO15rus [73]

Answer:

x=-8

Step-by-step explanation:

Simplifying

5(x + -3) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

5(-3 + x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-3 * 5 + x * 5) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-15 + 5x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (2 * 7 + -1x * 7) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (14 + -7x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 5x + 14 + -7x + -4(7 + 2x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (7 * -4 + 2x * -4) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (-28 + -8x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 14 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -15 + 14 = -1

-1 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -1 + -28 = -29

-29 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -29 + 2 = -27

-27 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: 5x + -7x = -2x

-27 + -2x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -2x + -8x = -10x

-27 + -10x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -10x + -3x = -13x

-27 + -13x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + -8(-7 + x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (-7 * -8 + x * -8) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (56 + -8x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (6 * -1 + -5x * -1) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (-6 + 5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + 56 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 11 + 56 = 67

-27 + -13x = 67 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 67 + -6 = 61

-27 + -13x = 61 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 61 + 8 = 69

-27 + -13x = 69 + -8x + 4x + 5x + -2x

Combine like terms: -8x + 4x = -4x

-27 + -13x = 69 + -4x + 5x + -2x

Combine like terms: -4x + 5x = 1x

-27 + -13x = 69 + 1x + -2x

Combine like terms: 1x + -2x = -1x

-27 + -13x = 69 + -1x

Solving

-27 + -13x = 69 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

-27 + -13x + x = 69 + -1x + x

Combine like terms: -13x + x = -12x

-27 + -12x = 69 + -1x + x

Combine like terms: -1x + x = 0

-27 + -12x = 69 + 0

-27 + -12x = 69

Add '27' to each side of the equation.

-27 + 27 + -12x = 69 + 27

Combine like terms: -27 + 27 = 0

0 + -12x = 69 + 27

-12x = 69 + 27

Combine like terms: 69 + 27 = 96

-12x = 96

Divide each side by '-12'.

x = -8

Simplifying

x = -8

5 0

3 years ago

0=2-3y+12x how do you solve this problem

enot [183]

0 = 2 - 3y + 12x
0 = 12x - 3y + 2
3y = 12x + 2
3 3
y = 4x + ²/₃

Change the problem into an equation in slope-intercept form.

3 0

4 years ago

The nth term of a sequence is n²+1. What is the 9th term?

Dimas [21]

Replacing 9 for the nth term of the sequence we get 9^2 + 1 = 82, Therefore the 9th term is = 82

5 0

3 years ago

2a+ 3b + 4a^2 - 9b^2

Shtirlitz [24]

Answer:

$\bf\pink{(2a+3b)\times (1+2a-3b)}$

Step-by-step explanation:

<h2><u>Given Expression</u> :-</h2>

$\sf\orange{2a+ 3b + 4a^2 - 9b^2}$

<h2><u>Steps to factorise</u> :-</h2>

$\hookrightarrow\:\:\:\sf\purple{2a+ 3b + 4a^2 - 9b^2}$

Using a²-b² = (a-b)(a+b), factor the expression

$\hookrightarrow\:\:\:\sf\red{2a+3b+(2a-3b)\times (2a + 3b)}$

Factor out 2a+3b from the expression

$\hookrightarrow\:\:\:{\boxed{\sf{\pink{(2a+3b)\times (1+2a-3b)}}}}$

$\mathfrak\blue{Hope\:It\:Helps\:!!!}$

6 0

3 years ago

Need ASAP Now!! please help with answer!

puteri [66]

Answer:

$y = 1500 * 1.09^t$

Step-by-step explanation:

$\text{It should be clear that the rate of change is non-linear}$ $\text{, meaning that we can express the function in the following manner}$

$\text{y = a * b^t, where a is the initial value and b is the rate of change and t is how}$ $y = a * b^t,$ $\text{where a is the initial value and b is the rate of change and t is how many years.}$

$\text{Well, year 0 is the rate of change so we can say that a = 1500}$

$\text{Next, we divide any two consecutive year balances to find our rate of change:}$

$1635/1500 = 1.09$

$\text{Therefore, our equation looks like this:}$

$y = 1500 * 1.09^t$

8 0

2 years ago

Read 2 more answers